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Fractional Division —— Thesis
? In the chapter of fractional multiplication, we got a formula, numerator multiplied by numerator, denominator multiplied by denominator, that is, a/bc/d=(ac)/(bd), so I guess fractional division may also be denominator divided by denominator, numerator divided by numerator, a/b? c/d=(a? c)/(b? D) Am I right? Next, I will discuss the principle of fractional division.

? I divide the exploration of fractional division into two parts, namely, fractional division of integers and fractional division of fractions.

? Let me give you an example first. 7/8? 7= 1/8。 Through this formula, we can look at it from two angles. One is to divide 7/8 into 7 parts, each of which is 1/8, and the other is to divide 7 parts of 1/8 into 7 parts, each of which is 1/8. From these two angles, I guess the answer is this:

7/8? 7=(7? 7)/8= 1/8

Use the alphabet, that is, a/b? c=(a? c)/b

? I also came to the conclusion that dividing a fraction by an integer only requires the denominator to remain the same, and dividing the numerator by an integer will do.

? What if the molecule is not an integer multiple of an integer? That is, a? C is not an integer, so we need to divide it before we can get the answer.

? Next, I'll talk about dividing the score by the score. As above, let's give an example first: 1/2? 1/4。

? Because the denominator is different, shall we divide it into 2/4 first? 1/4=2, but this is only a special case. I'm going to use letters to push it.

b/a? D/c, divide first, become bc/ac? Da/ac, and then become, (bc? da)/ 1=bc? Da, finally equals bc/da. Looking at the original formula and divisor again, we find that this formula is equal to the dividend divided by the reciprocal of the divisor.

Let's review the previous formula a/b? c=ac/bc? c=a/bc .